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Finding the Third Proportional to 153,904 and 329,705

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Solution

The third proportional to 153,904 and 329,705 is: 706,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904 : 329,705 = 329,705 : x
  2. Step 2: Convert to fraction form
    153,904/329,705 = 329,705/x
  3. Step 3: Cross multiply
    153,904x = 329,705 × 329,705
  4. Step 4: Simplify right side
    153,904x = 108,705,387,025
  5. Step 5: Solve for x
    x = 108,705,387,025/153,904
  6. Step 6: Final answer
    x = 706,319.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.